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Table 7 The total computational cost of the reconstruction of a k-sparse signal by OMP, OMP-PKS, OMP-PKS+RS, and DCS-SOMP

From: Robust reconstruction algorithm for compressed sensing in Gaussian noise environment using orthogonal matching pursuit with partially known support and random subsampling

Method

The number of multiplication

The number ofâ„“2optimization

OMP

(MN + M)k

∑ t = 1 k ( ℓ 2  optimization for  t variables )

OMP-PKS

(MN + M)(k-|Γ|) + |Γ|

∑ t = | Γ | k ( ℓ 2  optimization for  t  variables )

OMP-PKS+RS

L[p(MN + M)(k - |Γ|) + |Γ|]

L ∑ t = | Γ | k ( ℓ 2  optimization for  t variables )

DCS-SOMP

Lp[(MN + M)k]

L ∑ t = 1 k ( ℓ 2  optimization for  t variables )